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Finding the Fourth Proportional to 140,798.56, 194,228.40 and 87,066.40

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Solution

The fourth proportional to 140,798.56, 194,228.40 and 87,066.40 is: 120,106.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,798.56 : 194,228.40 = 87,066.40 : x
  2. Step 2: Convert to fraction form
    140,798.56/194,228.40 = 87,066.40/x
  3. Step 3: Cross multiply
    140,798.56x = 194,228.40 × 87,066.40
  4. Step 4: Simplify right side
    140,798.56x = 16,910,767,565.76
  5. Step 5: Solve for x
    x = 16,910,767,565.76/140,798.56
  6. Step 6: Final answer
    x = 120,106.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.